Question

Two quadratic equations I and II are given below. Equation I: ax² − 38x + ab = 0 Equation II: cy² − 65y + 2cd = 0 Note: (i) Sum of the values of a and c is 7 (ii) One of the roots of equation I is the 3rd smallest composite number. (iii) One of the roots of equation II is 6. (iv) The value of a is the smallest even prime number. Which of the following statement(s) is true? (

  • I Sum of the larger root of equation (
  • I and smaller root of equation (I
  • I is (2c + a) . (I
  • I Product of the larger root of the equation (I
  • I and smaller root of equation (
  • I is d. (II
  • I (a + b) X 4 = c² X d
A None is true
B Both II and III
C Only III
D Both I and II
E All I, II and III
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